So you can make the argument that publishing the image forms part of a publisher's content proposition from which they benefit (more viewers, more magazine sales or whatever). But you can make the same argument for twitter itself: twitter's value and the wealth of it's owners is derived exclusively from content it's users post. So can a user claim compensation from twitter for the value it has derived from their posts?
The same argument applies to say StackOverflow. I've spent countless hours answering questions and helping people out. SO sell ads against this content, and my content drives search engine click-throughs. Do I have a claim against SO?